Mathematics, 16.05.2020 07:57 lreese

Jeanine’s swimming pool has a diameter of 27 feet. Surrounding the pool is a deck that extends 5 feet from the edges of the pool. Jeanine wants to paint the deck and then put a fence around it. Paint costs $0.85 per square foot and fencing costs $8.25 per foot. How much will it cost Jeanine to paint the deck and add fencing?

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Answer from: cbawesome8

The total cost of painting the deck and add fencing is $1,386.79.

Step-by-step explanation:

Consider the diagram below.

The smaller circle represents Jeanine’s swimming pool with diameter,

d = 27 feet.

And the outer circle represents the deck.

The width of the deck is 5 feet.

Then the diameter of the bigger circle is:

D = 27 + 5 + 5 = 37 feet

It is provided that Jeanine wants to paint the deck and the paint costs $0.85 per square foot.

The cost of painting the deck can be computed using the formula:

Cost of painting = Area of Deck × Cost of paint/square foot

Compute the area of the deck as follows:

Area of Deck = Area of bigger circle - Area of smaller circle

$=\pi R^{2}-\pi r^{2}\\\\=\pi(R^{2}-r^{2})\\\\=\frac{22}{7}\times [(\frac{37}{2})^{2}-(\frac{27}{2})^{2}]\\\\=502.86$

Then the cost of painting the deck is:

Cost of painting = Area of Deck × Cost of paint/square foot

$=502.86\times \$0.85\\=\$427.431\\\approx \$427.43$

The cost of painting the deck is $427.43.

Now Jeanine also wants to put a fence around the deck.

The cost of fencing is, $8.25 per foot.

The cost of putting the fence can be computed using the formula:

Cost of putting the fence = Circumference of the big circle × Cost of fencing

Compute the cost of putting the fence as follows:

Cost of putting the fence = Circumference of the big circle × Cost of fencing

$=2\pi R\times \$8.25\\\\=2\times \frac{22}{7}\times \frac{37}{2}\times \$8.25\\\\=\$959.36$

The cost of putting the fence is $959.36.

The total cost of painting the deck and add fencing is:

Total Cost = Cost of painting the deck + Cost of putting the fence

= $427.43 + $959.36

= 1386.79

Thus, the total cost of painting the deck and add fencing is $1,386.79.

Jeanine’s swimming pool has a diameter of 27 feet. Surrounding the pool is a deck that extends 5 fee

Answer from: Quest

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

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